Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 1756, 1757 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1756 and 1757 is 1.
GCF(1756,1757) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1756
2 | 1756 |
2 | 878 |
439 | 439 |
1 |
Prime factors of 1756 are 2,439. Prime factorization of 1756 in exponential form is:
1756 = 22×4391
Prime Factorization of 1757
7 | 1757 |
251 | 251 |
1 |
Prime factors of 1757 are 7,251. Prime factorization of 1757 in exponential form is:
1757 = 71×2511
∴ So by taking common prime factors GCF of 1756 and 1757 is 1
Factors of 1756
List of positive integer factors of 1756 that divides 1756 without a remainder.
1,2,4,439,878,1756
Factors of 1757
List of positive integer factors of 1757 that divides 1757 without a remainder.
1,7,251,1757
Greatest Common Factor
We found the factors and prime factorization of 1756 and 1757. The biggest common factor number is the GCF number.
So the greatest common factor 1756 and 1757 is 1.
Also check out the Least Common Multiple of 1756 and 1757
(i) The GCF of 1756 and 1757 is associative
GCF of 1756 and 1757 = GCF of 1757 and 1756
1. What is the GCF of 1756 and 1757?
Answer: GCF of 1756 and 1757 is 1.
2. What are the Factors of 1756?
Answer: Factors of 1756 are 1, 2, 4, 439, 878, 1756. There are 6 integers that are factors of 1756. The greatest factor of 1756 is 1756.
3. What are the Factors of 1757?
Answer: Factors of 1757 are 1, 7, 251, 1757. There are 4 integers that are factors of 1757. The greatest factor of 1757 is 1757.
4. How to Find the GCF of 1756 and 1757?
Answer:
Greatest Common Factor of 1756 and 1757 = 1
Step 1: Find the prime factorization of 1756
1756 = 2 x 2 x 439
Step 2: Find the prime factorization of 1757
1757 = 7 x 251
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 1756 and 1757 is 1